Stability of capture into parametric autoresonance

DOI10.1134/S0081543816090169zbMath1407.81131OpenAlexW2580808207MaRDI QIDQ2396381

O. A. Sultanov

Publication date: 8 June 2017

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543816090169

zbMATH Keywords

stabilitynonlinear oscillationsperturbationsparametric resonance

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Other fundamental interactions in quantum theory (81V19)

Related Items (6)

Asymptotic behaviour of measure for captured trajectories into parametric autoresonance ⋮ Stability and Asymptotic Analysis of the Autoresonant Capture in Oscillating Systems with Combined Excitation ⋮ Capture into parametric autoresonance in the presence of noise ⋮ Lyapunov functions and asymptotics at infinity of solutions of equations that are close to Hamiltonian equations ⋮ Stability and bifurcation phenomena in asymptotically Hamiltonian systems ⋮ Autoresonance in oscillating systems with combined excitation and weak dissipation

Cites Work

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• Stability of autoresonance models
• Existence of solutions entering at a singular point of an autonomous system having a formal solution
• The capture into parametric autoresonance
• Stability of autoresonance models subject to random perturbations for systems of nonlinear oscillation equations
• Asymptotic analysis of autoresonance models
• Weakly Nonlinear Dispersive Waves under Parametric Resonance Perturbation
• Autoresonance excitation of a breather in weak ferromagnetics

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